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Finding the Third Proportional to 293,067 and 439,515

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Solution

The third proportional to 293,067 and 439,515 is: 659,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,067 : 439,515 = 439,515 : x
  2. Step 2: Convert to fraction form
    293,067/439,515 = 439,515/x
  3. Step 3: Cross multiply
    293,067x = 439,515 × 439,515
  4. Step 4: Simplify right side
    293,067x = 193,173,435,225
  5. Step 5: Solve for x
    x = 193,173,435,225/293,067
  6. Step 6: Final answer
    x = 659,144.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.